Examples of using Morphisms in English and their translations into Italian
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Colloquial
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Official
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Medicine
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Financial
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Ecclesiastic
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Ecclesiastic
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Computer
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Programming
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Official/political
This is the map of F on morphisms.
Morphisms in this category are just the elements of G.
We have the map of F on objects and the family of morphisms η.
The composition of two morphisms is again a morphism.
Morphisms are functions on sets which map basepoints to basepoints.
(1990), whose objects and morphisms form a"proper conglomerate".
This means that all hom-sets are abelian groups and the composition of morphisms is bilinear.
Schemes form a category, with morphisms defined as morphisms of locally ringed spaces.
Morphisms of representations of Q are precisely natural
Category theory deals with abstract objects and morphisms between those objects.
then they form a group under composition of morphisms.
gB) of morphisms such that gBf1 f2gA.
Manipulation and visualization of objects, morphisms, categories, functors, natural transformations, universal properties.
The morphisms in E between R→ S1
that G is a functor implies that the map of F on morphisms preserves compositions and identities.
Given the standard definition of isomorphisms as invertible morphisms, a lattice isomorphism is just a bijective lattice homomorphism.
category whose objects are topological spaces, and whose morphisms are homotopy equivalence classes of continuous maps.
For every two objects A and B a set Mor(A, B) of things called morphisms from A to B. If f is in Mor(A, B), we write f: A→ B. for every three objects A, B and C a binary operation Mor(A, B)× Mor(B, C)→ Mor(A, C) called composition of morphisms.
the objects will be sets with some additional structure and the morphisms will be functions preserving that structure.
Morphisms from schemes to affine schemes are completely
in the sense of initial morphisms, one may construct the induced hom-set adjunction
For any given set I, the discrete category on I is the small category that has the elements of I as objects and only the identity morphisms as morphisms.
This is a very abstract definition since, in category theory, morphisms aren't necessarily functions and objects aren't necessarily sets.
whose elements are called morphisms or maps or arrows.
In mathematics, an abelian category is a category in which morphisms and objects can be added
a"large category" is defined as one whose objects and morphisms make up a proper class.
be viewed as a category with a single object; morphisms in this category are just the elements of"G.
the precise manner of the gluing process being specified by morphisms between the objects.
because a colimit satisfies an initial property whereas the counit morphisms will satisfy terminal properties, and dually.
dimension of an affine variety, morphisms and rational maps, smooth and singular points.